The modular invariant of rank 1 Drinfeld modules is introduced and used to prove an exact analog of the Weber-Fueter theorem for global function fields. The main ingredient in the proof is the global function field version of Shimura's Main Theorem of Complex Multiplication.

中文翻译：

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秩 1 Drinfeld 模块和类字段生成的模不变量

引入秩 1 Drinfeld 模块的模不变量，并用于证明全局函数场的 Weber-Fueter 定理的精确模拟。证明的主要成分是志村复数乘法主定理的全局函数域版本。